Formatting nested tables in HTML

You have an extra empty set of p tags in that cell — between the javascript and the enclosed table — that’s part of the problem.

But aside from that, table layouts are really outdated and you’re likely to have a lot of problems trying to make that approach work with WP. I know it’s a lot of work to totally convert to a CSS based layout, but in the long run, it will be worth your while. Your tables are also using a lot of deprecated inline CSS code — again a huge problem in terms of maintaining the site and long-term functionality.

You also have some major errors with the title and body tags — so the validator won’t even finish validating the page:

https://validator.w3.org/check?uri=http%3A%2F%2Fwww.avminsuranceservice.com%2F&charset=%28detect+automatically%29&doctype=Inline&group=0

No matter what, fix those and then see what other errors you really need to fix.

One other REALLY major thing is that you absolutely need to be using a Child Theme — as is, all your changes to the theme files, including the CSS, will be lost when WP is updated.

First of all, I am startled to see there are still table-based layouts being used. But who am I to lecture.
I am not sure what part of the spacing want to change? Is it the spacing between things like “Your name” and the input box? If so you need the following CSS:
#frmQuote p { margin: 0; }
Edit: I agree with WPyogi